First and foremost, make sure your puppy does not have to urinate or defecate and that she is not thirsty or excessively hungry. If in doubt, take him to his designated toilet area before you begin.
Make yourself comfortable because in the beginning this can be a time consuming process, but each repetition brings results faster and faster until the exercise no longer needs to be done. If done properly, it should take no longer than a week for your puppy to feel secure in his crate and no longer howl and whine.
This process will not work if you do not provide your puppy with regularly scheduled exercise and play. If your puppy has excessive, pent up energy because you haven't provided an outlet for that energy, then this exercise will be futile.
Having previously performed the Chill exercise with your puppy will make this training process infinitely easier. See the video on how to teach your puppy to Chill.
The basic idea is to comfort and sooth your puppy into falling asleep and then once asleep, placing her back into her crate. Sometimes the puppy will stir a bit when you move her from your lap to the crate, but simply stroke and calm her inside the crate before shutting the door. Sometimes, just reaching through the crate with your fingers and gently stroking the puppy will be enough. If the whining continues immediately, then repeat the process and wait until the puppy is more soundly asleep before placing her back into the crate.
Repeat this process until you succeed or each subsequent training session will take longer and longer. I had to do this several times the first night and then once a night for a few nights. After that I only needed to do it for a few minutes before bedtime and occasionally if the puppy woke up in the middle of the night. Each night she felt more secure, she slept longer and longer until she would sleep the entire night through.
However I found that I had to repeat the training when I crated her during the day for naptime. But the process is exactly the same.